{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1ce60e9d180>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets import make_blobs\n",
    "X, y = make_blobs(n_samples=300, centers=4, random_state=0, cluster_std=1.0)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='rainbow')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.tree import DecisionTreeClassifier\n",
    "tree = DecisionTreeClassifier().fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "def visualize_classifier(model, X, y, ax=None, cmap='rainbow'):\n",
    "    ax = ax or plt.gca()\n",
    "    # Plot the training points\n",
    "    ax.scatter(X[:, 0], X[:, 1], c=y, s=30, cmap=cmap, clim=(y.min(), y.max()), zorder=3)\n",
    "    ax.axis('tight')\n",
    "    ax.axis('off')\n",
    "    xlim = ax.get_xlim()\n",
    "    ylim = ax.get_ylim()\n",
    "    # fit the estimator\n",
    "    model.fit(X, y)\n",
    "    xx, yy = np.meshgrid(np.linspace(*xlim, num=200), np.linspace(*ylim, num=200))\n",
    "    Z = model.predict(np.c_[xx.ravel(), yy.ravel()]).reshape(xx.shape)\n",
    "    # Create a color plot with the results\n",
    "    n_classes = len(np.unique(y))\n",
    "    contours = ax.contourf(xx, yy, Z, alpha=0.3, levels=np.arange(n_classes + 1) - 0.5, cmap=cmap, clim=(y.min(), y.max()), zorder=1)\n",
    "    ax.set(xlim=xlim, ylim=ylim)\n",
    "visualize_classifier(DecisionTreeClassifier(), X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import helpers_05_08\n",
    "helpers_05_08.plot_tree_interactive(X, y);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.c_[xx.ravel(), yy.ravel()]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1ce51de9810>]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.linspace(-10,10,100)\n",
    "y = np.sin(x)\n",
    "plt.plot(x,y,marker='x')"
   ]
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "e21935a792cabaadabb39e077efde3aadff814271e124eae6fb74a8aae0f5081"
  },
  "kernelspec": {
   "display_name": "Python 3.10.5 64-bit",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.5"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
